If $f(x) = \left\{ \begin{array}{l l} \large\frac{x^3+x^2-16x+20}{(x-2)^2} & \quad when \quad x \neq 3 \\ k & \quad when \quad x = 2 \end{array} \right.$ and $f(x)$ is continuous at $x=3$ find the value of k.

Question

$\begin{array}{1 1}(A)\;7 \\(B)\;6 \\(C)\;8 \\(D)\;0 \end{array}$